Answer:
$450
Step-by-step explanation:
Let E be the amount of money Ethan starts with, J be the amount Jun Wei starts with, and R be the amount Raj starts with. Let M be the total amount of money to start with.
To start:
This means Ethan has 5/20 of M, the money to start with. This reduces to 1/4 of M.
Afterwards:
This means Ethan has 3/13 of the remaining money (which is M-50!) after giving up 50. So
E = (M/4), or 4E = M
and
We know 4E = M, so we can substitute that in:
That's how much money Ethan had to start with. But we're asked how much he has AFTER giving $50 away, so that's $450.
Answer 36
Do the parentheses first (3^2)=9
(9)4•1
The 1 is because 3^0 is just 1
9•4 is 36 and 36•1 is 36.
The formula of cone's capacity is V = (1 / 3) (pi x r x h)
we know that r = 3.5, we must find h, the slant height is H=6.5, applying pythagorean theorem h ^2 = H^2, so h= sqrt (H^2 - r^2)
h = sqrt (6.5^2 - 3.5^2) = 5.47
finally, V = (1 / 3) (3.14 x 3.5 x 5.47) = 20.03 cm^3
the surface are is A = pi x r x H = 71.43 cm^2
Square root 156.25 to get the values of the sides of the square. You will get 12.5m for each side.
Now that you have the side values, use Pythagoras' Theorem to solve for the diagonal. Let's call the diagonal x,
c^2 = a^2 + b^2
x^2 = 12.5^2 + 12.5^2
= 312.5
Square root both sides to get x,
x = 17.68m (2 d.p)
HOPE THIS HELPED! Ask me if there is anything you don't understand from this working :D
The property where you multiply ig
